125638240 has 96 divisors (see below), whose sum is σ = 365359680. Its totient is φ = 39757824.

The previous prime is 125638231. The next prime is 125638297. The reversal of 125638240 is 42836521.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10246 + ... + 18874.

It is an arithmetic number, because the mean of its divisors is an integer number (3805830).

Almost surely, 2^125638240 is an apocalyptic number.

125638240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125638240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182679840).

125638240 is an abundant number, since it is smaller than the sum of its proper divisors (239721440).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

125638240 is a wasteful number, since it uses less digits than its factorization.

125638240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8664 (or 8656 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 31.

The square root of 125638240 is about 11208.8465062200. The cubic root of 125638240 is about 500.8495424046.

The spelling of 125638240 in words is "one hundred twenty-five million, six hundred thirty-eight thousand, two hundred forty".